Details

Time bar (total: 1.0s)

analyze81.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
25%21.9%53.2%8
25%14%61%9
28.1%10.9%61%10
31.6%7.4%61%11
33.4%5.7%61%12
35.2%3.8%61%13
36.1%2.9%61%14

sample19.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
0503517

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 a a) (*.f64 b b))
0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
0.3b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow-prod-down_binary64 pow-unpow_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unpow-prod-down_binary64 prod-exp_binary64
flip3-+_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
pow-to-exp_binary64 associate-*r*_binary64 unpow2_binary64 pow-pow_binary64 sqr-pow_binary64 unswap-sqr_binary64 pow-exp_binary64 *-commutative_binary64
Counts
4 → 59
Calls
4 calls:
5.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

series42.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+.f64 (*.f64 a a) (*.f64 b b))
18.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (*.f64 b b)))
7.0ms
(*.f64 4 (*.f64 b b))
10.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)

simplify55.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04951751
14951751

prune72.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh000
Picked101
Done000
Total71172

Merged error: 0b

Counts
72 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))))) (*.f64 4 (*.f64 b b)))
0.0b
(*.f64 4 (*.f64 b b))
2.6b
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
18×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
12×add-log-exp_binary64
sum-log_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
associate-*r*_binary64 *-commutative_binary64
flip3-+_binary64 associate-+l+_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64
Counts
3 → 61
Calls
3 calls:
14.0ms
(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))))) (*.f64 4 (*.f64 b b)))
6.0ms
(*.f64 4 (*.f64 b b))
11.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2))))) (*.f64 4 (*.f64 b b)))
4.0ms
(*.f64 4 (*.f64 b b))
10.0ms
(*.f64 (*.f64 a a) (*.f64 b (*.f64 b 2)))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
04951808
14951808

prune62.0ms

Filtered
37 candidates to 70 candidates (-89.2%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New70070
Fresh000
Picked011
Done000
Total70171

Merged error: 0b

Counts
71 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03425
13425

end0.0ms

sample499.0ms

Algorithm
intervals
Results
361.0ms8000×body80valid
0.0msbody80invalid

Profiling

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